xử lý ảnh: wavelets and multiresolution processing

Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Digital Image Processing, 3rd ed. www.ImageProcessingPlace.com © 1992–2008 R. C. Gonzalez & R. E. Woods Gonzalez & Woods Chapter 7 Wavelets and Multiresolution Processing Analysis [...]... Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing These coefficients correspond to neg n © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing. .. Chapter 7 Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Upsampling by adding a 0 every 2nd element Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution. .. Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Synthesis © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com...Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com... Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing 2D scheme © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Original 1 scale 2... Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Haar wavelets converge slowly Other families of wavelets have better convergence properties © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Example of noise removal: here... Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Wavelets - so what now? As we have done image manipulation (filtering, smoothing, in spatial domain, frequency domain, etc.) it is possible to apply the same tools in the wavelets formalism 1 Apply DWT 2 Perform filtering/operation 3 Apply IDWT The advantage of wavelets wrt... is the cost (O(N) wavelets, O (NlogN) for FFT) © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Example: Picking up edge information by modifying the approximation part Modifying also the horizontal detail information © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed... Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter 7 Wavelets and Multiresolution Processing Example of noise removal: here it is set to zero the coefficients of the wavelets (detail coefficients), while keeping the approximation coefficients © 1992–2008 R C Gonzalez & R E Woods